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The Proof of Completeness of the Graph Method for Generation of Affine Moment Invariants

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Image Analysis and Recognition (ICIAR 2010)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6111))

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Abstract

Features for recognition of affinely distorted objects are of great demand. The affine moment invariants can be generated by a few methods, namely the graph method, the tensor method and the direct solution of the Cayley-Aronhold differential equation. The proof of their equivalence is complicated; it can be derived from the Gurevich’s proof for affine tensor invariants. The theme of this paper is this derivation.

This work has been supported by the grants No. 102/08/1593 and No. 102/08/0470 of the Czech Science Foundation.

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References

  1. Suk, T., Flusser, J.: Graph method for generating affine moment invariants. In: Proceedings of the 17th International Conference on Pattern Recognition ICPR 2004, pp. 192–195. IEEE Computer Society, Los Alamitos (2004)

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Author information

Authors and Affiliations

  1. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 4, 182 08, Praha 8, Czech Republic

    Tomáš Suk

Authors
  1. Tomáš Suk
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Editor information

Editors and Affiliations

  1. Faculty of Engineering, Institute of Biomedical Engineering, Rua Dr. Roberto Frias, University of Porto, 4200-465, Porto, Portugal

    Aurélio Campilho

  2. Department of Electrical and Computer Engineering, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Mohamed Kamel

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Suk, T. (2010). The Proof of Completeness of the Graph Method for Generation of Affine Moment Invariants. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2010. Lecture Notes in Computer Science, vol 6111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13772-3_17

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  • DOI: https://doi.org/10.1007/978-3-642-13772-3_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13771-6

  • Online ISBN: 978-3-642-13772-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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